VandenBroeck and Keller, Equation (20)

Time bar (total: 15.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze203.0ms (1.3%)

Memory
-9.2MiB live, 264.4MiB allocated
Algorithm
1×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)

sample6.3s (39.6%)

Memory
169.5MiB live, 5 944.2MiB allocated
Samples
2.4s7 598×1valid
2.1s7 151×1invalid
179.0ms191×2valid
54.0ms467×0valid
1.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 3.8s
ival-exp: 1.1s (29.6% of total)
ival-div: 630.0ms (16.4% of total)
ival-mult: 423.0ms (11% of total)
adjust: 388.0ms (10.1% of total)
ival-neg: 349.0ms (9.1% of total)
ival-log: 337.0ms (8.8% of total)
ival-pi: 196.0ms (5.1% of total)
ival-sub: 177.0ms (4.6% of total)
ival-add: 174.0ms (4.5% of total)
exact: 15.0ms (0.4% of total)
ival-true: 12.0ms (0.3% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

explain617.0ms (3.9%)

Memory
-35.9MiB live, 530.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2450-0-(-.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))))
50-0-(/.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)))))
45(1010398.5608118273)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))))))
20-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
20-0-(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))))cancellation2451
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))))))sensitivity90
/.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/o50
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow5
↳(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow5
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow5
↳(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow5
exp.f64(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))sensitivity20
exp.f64(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))sensitivity20
Confusion
Predicted +Predicted -
+2540
-02
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-011
Precision?
0.996078431372549
Recall?
1.0
Freqs
test
numberfreq
02
1247
25
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
231.0ms468×1valid
13.0ms14×2valid
13.0ms30×0valid
Compiler

Compiled 434 to 52 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-exp: 45.0ms (36.2% of total)
ival-div: 18.0ms (14.5% of total)
ival-log: 15.0ms (12.1% of total)
ival-mult: 12.0ms (9.6% of total)
adjust: 11.0ms (8.8% of total)
ival-neg: 8.0ms (6.4% of total)
ival-pi: 5.0ms (4% of total)
ival-sub: 5.0ms (4% of total)
ival-add: 4.0ms (3.2% of total)
ival-true: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

preprocess344.0ms (2.2%)

Memory
12.6MiB live, 174.9MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))))
Compiler

Compiled 38 to 16 computations (57.9% saved)

eval3.0ms (0%)

Memory
-44.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune21.0ms (0.1%)

Memory
31.0MiB live, 31.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.9%
(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)

simplify261.0ms (1.6%)

Memory
-8.9MiB live, 149.5MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(*.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(+.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))

localize97.0ms (0.6%)

Memory
14.1MiB live, 172.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.43587875976844204
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
accuracy0.6015781656913504
(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))))))
accuracy1.492201255254126
(/.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)))))
accuracy56.46455020944608
(-.f64 (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
73.0ms234×1valid
7.0ms7×2valid
2.0ms15×0valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-exp: 17.0ms (25.6% of total)
ival-div: 13.0ms (19.5% of total)
adjust: 11.0ms (16.5% of total)
ival-log: 7.0ms (10.5% of total)
ival-mult: 6.0ms (9% of total)
ival-neg: 4.0ms (6% of total)
ival-pi: 2.0ms (3% of total)
ival-sub: 2.0ms (3% of total)
ival-add: 2.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series123.0ms (0.8%)

Memory
-25.6MiB live, 167.4MiB allocated
Counts
7 → 60
Calls
Call 1
Inputs
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#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>) () ())
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#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>) () ())
Outputs
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#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>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
54.0ms
f
@inf
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
54.0ms
f
@-inf
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
8.0ms
f
@0
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))

simplify161.0ms (1%)

Memory
20.1MiB live, 213.8MiB allocated
Algorithm
1×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
221281484
090931459
Stop Event
1×iter limit
1×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)
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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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))))
(* 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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
(/ (+ (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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
(/ (+ (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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
(/ (+ (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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
(* -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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))))
(* 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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))

rewrite185.0ms (1.2%)

Memory
18.9MiB live, 290.0MiB 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
1×iter limit
1×node limit
1×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))))
(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)))))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 2 binary64)) (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal -1/2 binary64)) (pow.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
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(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))) (*.f64 (PI.f64) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #s(literal 4 binary64)) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(fma.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(+.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))

eval164.0ms (1%)

Memory
29.5MiB live, 329.1MiB allocated
Compiler

Compiled 32 226 to 3 628 computations (88.7% saved)

prune38.0ms (0.2%)

Memory
-47.3MiB live, 102.5MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New76718785
Fresh000
Picked101
Done000
Total76818786
Accuracy
99.1%
Counts
786 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.2%
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
▶98.6%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
96.4%
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
98.5%
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
98.4%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
96.0%
(*.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
▶98.2%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
98.3%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
95.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))))
▶96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
98.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
95.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
95.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)) f)))))
▶95.0%
(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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
95.7%
#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)))))))) (fma.f64 (*.f64 (*.f64 (/.f64 f (PI.f64)) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64)) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
▶95.2%
#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 898 to 560 computations (37.6% saved)

simplify139.0ms (0.9%)

Memory
27.1MiB live, 180.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff0
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff128
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff128
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
cost-diff1984
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
cost-diff0
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
cost-diff0
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff256
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff0
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff0
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff0
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Rules
4 356×lower-fma.f64
4 356×lower-fma.f32
3 422×lower-*.f32
3 402×lower-*.f64
2 518×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057534
093530
1192491
2494485
31440485
44165435
57391435
08358435
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 f)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 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)
(-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))
(log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (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 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 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 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 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 #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 (*.f64 #s(literal 1/2 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 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 f)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(*.f64 (-.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))
(*.f64 (-.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 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #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))))
(log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))
(cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64)))
(*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))
(sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))

localize322.0ms (2%)

Memory
23.6MiB live, 560.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.43587875976844204
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))
accuracy0.7900584397275927
(-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))
accuracy1.2182437888981943
(log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
accuracy1.2260562888981943
(log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
accuracy0.26953125
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
accuracy0.3203125
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
accuracy0.5981837164891252
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy0.2578125
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
accuracy0.43197250976844204
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy2.0
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
accuracy2.762126339824923
#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))))
accuracy0.2890625
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
accuracy0.43587875976844204
(*.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
accuracy0.6015781656913504
(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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
accuracy2.5574842728488365
#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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
accuracy0.0078125
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy0.23046875
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.3359375
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.5981837164891252
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
Samples
239.0ms234×1valid
17.0ms7×2valid
8.0ms15×0valid
Compiler

Compiled 492 to 51 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-log: 40.0ms (20.8% of total)
ival-mult: 35.0ms (18.2% of total)
ival-div: 30.0ms (15.6% of total)
ival-exp: 30.0ms (15.6% of total)
adjust: 16.0ms (8.3% of total)
ival-neg: 10.0ms (5.2% of total)
ival-sub: 7.0ms (3.6% of total)
ival-cosh: 6.0ms (3.1% of total)
ival-sqrt: 5.0ms (2.6% of total)
ival-pi: 3.0ms (1.6% of total)
ival-sinh: 3.0ms (1.6% of total)
ival-add: 3.0ms (1.6% of total)
ival-tanh: 3.0ms (1.6% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series484.0ms (3.1%)

Memory
23.2MiB live, 523.7MiB allocated
Counts
25 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
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Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
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#s(alt (+ (log f) (log (* 1/4 (PI)))) (taylor 0 f) (#s(alt (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (patch (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (* f (PI))) (taylor 0 f) (#s(alt (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
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#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 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<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 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor 0 f) (#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 (* 1/4 (* f (PI))) (taylor 0 f) (#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 (* 1/4 (* f (PI))) (taylor 0 f) (#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 (* 1/4 (* f (PI))) (taylor 0 f) (#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 (/ 4 (* f (PI))) (taylor 0 f) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
229.0ms
f
@inf
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (/ 2 (* (* 1/2 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ 4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))) (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)))) (/ (PI) 4) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI)) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))
162.0ms
f
@-inf
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (/ 2 (* (* 1/2 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ 4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))) (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)))) (/ (PI) 4) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI)) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))
78.0ms
f
@0
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (/ 2 (* (* 1/2 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ 4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))) (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)))) (/ (PI) 4) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (sqrt (PI)) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))

simplify199.0ms (1.3%)

Memory
-33.9MiB live, 183.4MiB allocated
Algorithm
1×egg-herbie
Rules
12 346×lower-fma.f64
12 346×lower-fma.f32
6 064×lower-*.f64
6 064×lower-*.f32
2 634×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04968934
116157584
268317555
080287291
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
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))))))))
(+ (log f) (log (* 1/4 (PI))))
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(* 4 (/ (- (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal 4 binary64))
(/ (+ (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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))
(- (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(- (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(- (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(- (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))

rewrite245.0ms (1.5%)

Memory
10.3MiB live, 319.4MiB allocated
Rules
4 072×lower-/.f32
4 056×lower-/.f64
3 848×lower-*.f32
3 828×lower-*.f64
2 560×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057423
093265
1340242
22088242
08688242
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 521
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))
(/.f64 (PI.f64) #s(literal 4 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 (*.f64 #s(literal 1/2 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 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(sqrt.f64 (PI.f64))
(log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))
Outputs
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal -1 binary64))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))) #s(literal -1 binary64))
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(-.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 #s(literal 2 binary64)))
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(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 3 binary64)))))) (log.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (+.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (log.f64 (pow.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(+.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f) #s(literal 3 binary64)))))) (log.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))) #s(literal 1 binary64)) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64)))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))
(+.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64)))))) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(+.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))))))
(+.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(+.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(+.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 0 binary64))
(+.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))

eval404.0ms (2.6%)

Memory
13.5MiB live, 542.6MiB allocated
Compiler

Compiled 79 217 to 5 956 computations (92.5% saved)

prune67.0ms (0.4%)

Memory
10.3MiB live, 173.8MiB allocated
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New2 149222 171
Fresh11213
Picked415
Done000
Total2 164252 189
Accuracy
99.9%
Counts
2 189 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
9.8%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
96.5%
(/.f64 (-.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓98.6%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
95.2%
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
95.5%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶95.2%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.4%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
98.5%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
97.6%
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (sqrt.f64 (PI.f64))))
9.8%
(neg.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
94.9%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
▶96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
98.4%
(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) f) #s(literal 1/4 binary64)))))))
95.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
95.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
93.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
94.6%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
95.3%
(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))) #s(literal -1 binary64))))
▶94.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
95.1%
#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 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))))
95.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
95.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
95.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
▶95.2%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 968 to 678 computations (30% saved)

simplify104.0ms (0.7%)

Memory
-15.0MiB live, 116.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff0
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
cost-diff0
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff128
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
cost-diff128
(*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
cost-diff1984
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
cost-diff0
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff128
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64))
cost-diff320
(*.f64 #s(literal 0 binary64) (PI.f64))
cost-diff640
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))
cost-diff768
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
Rules
3 712×lower-*.f32
3 688×lower-*.f64
2 626×lower-/.f32
2 610×lower-/.f64
1 836×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064476
0104470
1230433
2637421
32444416
46472416
08109416
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64))))
(*.f64 #s(literal 0 binary64) (PI.f64))
#s(literal 0 binary64)
(PI.f64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (PI.f64) f)
f
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
#s(literal -4 binary64)
(neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal 1/4 binary64)
(sqrt.f64 (PI.f64))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 f)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #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 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
Outputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64))))
(*.f64 (neg.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
(*.f64 #s(literal 0 binary64) (PI.f64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(PI.f64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))) (PI.f64))
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
f
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 4 binary64))
#s(literal -4 binary64)
(neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))
(log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(PI.f64)
f
#s(literal 1/4 binary64)
(sqrt.f64 (PI.f64))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(neg.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 f)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
(/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))
(cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))

localize455.0ms (2.9%)

Memory
19.9MiB live, 443.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.43587875976844204
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
accuracy0.6015781656913504
(log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy1.492201255254126
(/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy0.2578125
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
accuracy0.43197250976844204
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy1.58496250072115
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy2.762126339824923
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy0.3125
(/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
accuracy0.3203125
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.762126339824923
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
accuracy0.23046875
(*.f64 (PI.f64) f)
accuracy0.3359375
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.5981837164891252
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
accuracy2.5569064984021552
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy0.23046875
(*.f64 (PI.f64) f)
accuracy0.296875
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))
accuracy0.40462875976844204
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
accuracy0.5981837164891252
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
Samples
330.0ms233×1valid
39.0ms7×2valid
7.0ms16×0valid
Compiler

Compiled 431 to 58 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 296.0ms
ival-log: 70.0ms (23.7% of total)
ival-div: 64.0ms (21.6% of total)
ival-mult: 64.0ms (21.6% of total)
adjust: 24.0ms (8.1% of total)
ival-tanh: 20.0ms (6.8% of total)
ival-exp: 19.0ms (6.4% of total)
ival-neg: 12.0ms (4.1% of total)
ival-sub: 7.0ms (2.4% of total)
ival-cosh: 5.0ms (1.7% of total)
ival-sqrt: 3.0ms (1% of total)
ival-pi: 2.0ms (0.7% of total)
ival-sinh: 2.0ms (0.7% of total)
ival-add: 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)

series555.0ms (3.5%)

Memory
-103.5MiB live, 200.3MiB allocated
Counts
27 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64))) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) (PI.f64)) (patch (*.f64 #s(literal 0 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)) (patch (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (patch (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (patch (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (patch #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) (patch (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) (patch #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (patch (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 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 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (patch (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (patch (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #<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>) () ())
Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* (PI) (+ (log f) (log (* 1/4 (PI))))) (taylor 0 f) (#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64))) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
357.0ms
f
@inf
((/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (* (* -1/4 (PI)) (PI))) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (* 0 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (/ (* -4 (neg (log (* (* (PI) f) 1/4)))) (sqrt (PI))) (sqrt (PI))) (* -4 (neg (log (* (* (PI) f) 1/4)))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* -4 (neg (log (* (* (PI) f) 1/4)))) (sqrt (PI))) (* (- (neg (log (* (PI) 1/4))) (log f)) (/ -4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (neg (log (* (PI) 1/4))) (log f)) (neg (log (* (PI) 1/4))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI))))))) (/ (PI) 4) (log (tanh (* (* (PI) f) 1/4))) (* (PI) f) (sqrt (PI)) (log (* (PI) 1/4)) (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI))))) (log (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI)))))) (* f (* 1/4 (PI))))
124.0ms
f
@-inf
((/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (* (* -1/4 (PI)) (PI))) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (* 0 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (/ (* -4 (neg (log (* (* (PI) f) 1/4)))) (sqrt (PI))) (sqrt (PI))) (* -4 (neg (log (* (* (PI) f) 1/4)))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* -4 (neg (log (* (* (PI) f) 1/4)))) (sqrt (PI))) (* (- (neg (log (* (PI) 1/4))) (log f)) (/ -4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (neg (log (* (PI) 1/4))) (log f)) (neg (log (* (PI) 1/4))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI))))))) (/ (PI) 4) (log (tanh (* (* (PI) f) 1/4))) (* (PI) f) (sqrt (PI)) (log (* (PI) 1/4)) (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI))))) (log (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI)))))) (* f (* 1/4 (PI))))
60.0ms
f
@0
((/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (* (* -1/4 (PI)) (PI))) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (* 0 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (/ (* -4 (neg (log (* (* (PI) f) 1/4)))) (sqrt (PI))) (sqrt (PI))) (* -4 (neg (log (* (* (PI) f) 1/4)))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* -4 (neg (log (* (* (PI) f) 1/4)))) (sqrt (PI))) (* (- (neg (log (* (PI) 1/4))) (log f)) (/ -4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (neg (log (* (PI) 1/4))) (log f)) (neg (log (* (PI) 1/4))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI))))))) (/ (PI) 4) (log (tanh (* (* (PI) f) 1/4))) (* (PI) f) (sqrt (PI)) (log (* (PI) 1/4)) (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI))))) (log (/ (cosh (* f (* 1/4 (PI)))) (sinh (* f (* 1/4 (PI)))))) (* f (* 1/4 (PI))))

simplify159.0ms (1%)

Memory
15.9MiB live, 90.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 788×lower-fma.f64
5 788×lower-fma.f32
4 462×lower-*.f64
4 462×lower-*.f32
2 040×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04117850
113296834
257395882
090255711
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(* 1/4 (* f (PI)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
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(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
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(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal -4 binary64))
(* -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 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal -4 binary64))
(* -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 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal -4 binary64))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 #s(literal -1 binary64)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal -4 binary64))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal -4 binary64))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal -4 binary64))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal -4 binary64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal 4 binary64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal 4 binary64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal 4 binary64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))) (PI.f64)) #s(literal 4 binary64))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))

rewrite261.0ms (1.7%)

Memory
-14.5MiB live, 135.8MiB allocated
Rules
3 482×lower-/.f32
3 466×lower-/.f64
3 344×lower-*.f32
3 320×lower-*.f64
2 298×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064359
0104303
1383246
22561246
08149246
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 927
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))
(*.f64 #s(literal 0 binary64) (PI.f64))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 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 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(*.f64 (PI.f64) f)
(sqrt.f64 (PI.f64))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (/.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Outputs
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(/.f64 (neg.f64 (*.f64 f (PI.f64))) #s(literal -4 binary64))
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 (*.f64 f (PI.f64)) #s(literal 4 binary64))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(+.f64 (log.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 f #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 f #s(literal 2 binary64))))))
(log.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))

eval345.0ms (2.2%)

Memory
23.1MiB live, 251.6MiB allocated
Compiler

Compiled 34 522 to 3 966 computations (88.5% saved)

prune156.0ms (1%)

Memory
-19.0MiB live, 115.5MiB allocated
Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New1 365171 382
Fresh91019
Picked415
Done011
Total1 378291 407
Accuracy
99.9%
Counts
1 407 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
94.3%
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
9.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))))) (log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
▶95.1%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
9.8%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
96.5%
(/.f64 (-.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.4%
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) (PI.f64))
✓98.6%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
95.2%
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
95.2%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶95.5%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
95.2%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓95.2%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
95.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
98.4%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
▶95.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
▶98.6%
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
98.5%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
98.4%
(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) f) #s(literal 1/4 binary64)))))))
95.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
94.6%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
95.2%
#s(approx (/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (* (* -1/4 (PI)) (PI))) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
94.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
94.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
▶95.1%
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
95.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
95.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
95.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
95.0%
#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 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 1 042 to 708 computations (32.1% saved)

simplify110.0ms (0.7%)

Memory
4.1MiB live, 78.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff64
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))))
cost-diff128
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
cost-diff320
(*.f64 #s(literal 0 binary64) (PI.f64))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff320
(fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff1344
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64)))
cost-diff0
(/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
cost-diff0
(*.f64 (PI.f64) (PI.f64))
cost-diff0
(/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))
cost-diff512
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))
cost-diff768
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
Rules
3 832×lower-fma.f32
3 828×lower-fma.f64
3 790×lower-*.f32
3 756×lower-*.f64
1 636×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075572
0117558
1296510
2709461
31967450
44319450
56899450
08095450
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal -4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
f
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))
(*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)
(fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 f f)
f
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64)))
#s(literal -1/8 binary64)
(*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal -1/32 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
#s(literal -7/768 binary64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))))
(*.f64 #s(literal 0 binary64) (PI.f64))
#s(literal 0 binary64)
(PI.f64)
#s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(log.f64 f)
f
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
Outputs
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal -4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))
(*.f64 (neg.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))
(*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal -4 binary64))
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
f
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) f))
(*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)
(*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) f)
(fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))
(*.f64 f f)
f
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64)))
(*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
#s(literal -1/8 binary64)
(*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal -1/32 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))
(*.f64 #s(literal -7/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
#s(literal -7/768 binary64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(*.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))))
(neg.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64))))
(*.f64 #s(literal 0 binary64) (PI.f64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(PI.f64)
#s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)))
#s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)))
(*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64))
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(log.f64 f)
f
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)

localize458.0ms (2.9%)

Memory
23.6MiB live, 577.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3125
(*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))
accuracy0.40462875976844204
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
accuracy1.58496250072115
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy2.758477877548675
#s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)))
accuracy1.0
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy1.0
(*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
accuracy2.5408681643197544
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))
accuracy0.24609375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy0.26953125
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy0.3359375
(/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy2.762126339824923
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy0.23046875
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
accuracy0.43587875976844204
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
accuracy0.5981837164891252
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
accuracy2.5569064984021552
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
accuracy0.23046875
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
accuracy0.296875
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))
accuracy0.3359375
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
accuracy0.5981837164891252
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
Samples
325.0ms233×1valid
32.0ms7×2valid
8.0ms16×0valid
Compiler

Compiled 438 to 71 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 310.0ms
ival-log: 101.0ms (32.6% of total)
ival-mult: 73.0ms (23.5% of total)
ival-div: 58.0ms (18.7% of total)
adjust: 17.0ms (5.5% of total)
ival-exp: 17.0ms (5.5% of total)
ival-add: 10.0ms (3.2% of total)
ival-tanh: 9.0ms (2.9% of total)
const: 8.0ms (2.6% of total)
ival-pi: 7.0ms (2.3% of total)
ival-neg: 6.0ms (1.9% of total)
ival-sub: 4.0ms (1.3% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series156.0ms (1%)

Memory
5.8MiB live, 240.9MiB allocated
Counts
29 → 228
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))) (patch (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (patch (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
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Outputs
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#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) (taylor 0 f) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -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 #s(literal 1/4 binary64) (PI.f64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) (patch (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) (patch (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.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 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.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 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.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 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) #<representation binary64>) () ())) ())
#s(alt (* (PI) (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 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))) (patch #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* (PI) (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 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))) (patch #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* (PI) (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 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))) (patch #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* (PI) (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 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))) (patch #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* (PI) (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f)))))) (taylor -inf f) (#s(alt (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) (patch (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (PI) (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f)))))) (taylor -inf f) (#s(alt (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) (patch (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (PI) (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f)))))) (taylor -inf f) (#s(alt (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) (patch (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (PI) (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f)))))) (taylor -inf f) (#s(alt (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) (patch (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
66.0ms
f
@-inf
((* (/ -4 (* (PI) (PI))) (* (* 1/4 (PI)) (* (log (tanh (* (* 1/4 (PI)) f))) -4))) (* (* 1/4 (PI)) (* (log (tanh (* (* 1/4 (PI)) f))) -4)) (/ -4 (* (PI) (PI))) (* (PI) (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ 1 (/ (log (* (* 1/4 (PI)) f)) (* 1/4 (PI))))) (/ 1 (/ (log (* (* 1/4 (PI)) f)) (* 1/4 (PI)))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (log (* (* 1/4 (PI)) f)) (* 1/4 (PI))) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768)) (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (* 0 (PI)) (/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (* (* -1/4 (PI)) (PI))) (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (log (tanh (* (* 1/4 (PI)) f))) (* (* 1/4 (PI)) f) (tanh (* f (* 1/4 (PI)))) (tanh (* f (* 1/4 (PI)))) (* (* -1/32 (* (PI) (PI))) (PI)) (* (* (PI) (PI)) (PI)) (* (* (* (PI) (PI)) (PI)) -7/768) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (log (* (PI) 1/4)) (* (+ (log (* (PI) 1/4)) (log f)) (PI)))
43.0ms
f
@inf
((* (/ -4 (* (PI) (PI))) (* (* 1/4 (PI)) (* (log (tanh (* (* 1/4 (PI)) f))) -4))) (* (* 1/4 (PI)) (* (log (tanh (* (* 1/4 (PI)) f))) -4)) (/ -4 (* (PI) (PI))) (* (PI) (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ 1 (/ (log (* (* 1/4 (PI)) f)) (* 1/4 (PI))))) (/ 1 (/ (log (* (* 1/4 (PI)) f)) (* 1/4 (PI)))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (log (* (* 1/4 (PI)) f)) (* 1/4 (PI))) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768)) (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (* 0 (PI)) (/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (* (* -1/4 (PI)) (PI))) (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (log (tanh (* (* 1/4 (PI)) f))) (* (* 1/4 (PI)) f) (tanh (* f (* 1/4 (PI)))) (tanh (* f (* 1/4 (PI)))) (* (* -1/32 (* (PI) (PI))) (PI)) (* (* (PI) (PI)) (PI)) (* (* (* (PI) (PI)) (PI)) -7/768) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (log (* (PI) 1/4)) (* (+ (log (* (PI) 1/4)) (log f)) (PI)))
33.0ms
f
@0
((* (/ -4 (* (PI) (PI))) (* (* 1/4 (PI)) (* (log (tanh (* (* 1/4 (PI)) f))) -4))) (* (* 1/4 (PI)) (* (log (tanh (* (* 1/4 (PI)) f))) -4)) (/ -4 (* (PI) (PI))) (* (PI) (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ 1 (/ (log (* (* 1/4 (PI)) f)) (* 1/4 (PI))))) (/ 1 (/ (log (* (* 1/4 (PI)) f)) (* 1/4 (PI)))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (log (* (* 1/4 (PI)) f)) (* 1/4 (PI))) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768)) (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (* 0 (PI)) (/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (* (* -1/4 (PI)) (PI))) (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (log (tanh (* (* 1/4 (PI)) f))) (* (* 1/4 (PI)) f) (tanh (* f (* 1/4 (PI)))) (tanh (* f (* 1/4 (PI)))) (* (* -1/32 (* (PI) (PI))) (PI)) (* (* (PI) (PI)) (PI)) (* (* (* (PI) (PI)) (PI)) -7/768) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (log (* (PI) 1/4)) (* (+ (log (* (PI) 1/4)) (log f)) (PI)))

simplify239.0ms (1.5%)

Memory
-9.3MiB live, 305.2MiB allocated
Algorithm
1×egg-herbie
Rules
13 698×lower-fma.f64
13 698×lower-fma.f32
4 318×lower-+.f64
4 318×lower-+.f32
4 036×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03197368
110096482
244035716
090675549
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
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))))))))
(* -1 (* (PI) (+ (log f) (log (* 1/4 (PI))))))
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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal 4 binary64))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal 4 binary64))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal 4 binary64))
(* 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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(* -1 (* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
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(* -1 (* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
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(* -1 (* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(* -1 (* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(log (/ (- (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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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 (PI.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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
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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)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(*.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64))
(* (PI) (log (/ (- (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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(* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(*.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64))
(* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(*.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64))
(* (PI) (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(*.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(* (PI) (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(*.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(* (PI) (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(*.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(* (PI) (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(*.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))

rewrite279.0ms (1.8%)

Memory
13.3MiB live, 403.1MiB allocated
Rules
4 572×lower-*.f32
4 538×lower-*.f64
3 630×lower-/.f32
3 616×lower-/.f64
3 042×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075448
0117380
1491363
22949363
08843358
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 1 045
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64)))
(fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))
(*.f64 #s(literal 0 binary64) (PI.f64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))))
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))
(*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))
#s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64)))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (PI.f64))
Outputs
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #s(literal -4 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) #s(literal -4 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (PI.f64)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (*.f64 (PI.f64) (PI.f64))))
(*.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
(pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))) (neg.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #s(literal 4 binary64))) (neg.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))) (neg.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (PI.f64)) (PI.f64))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (PI.f64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (PI.f64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #s(literal 1 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #s(literal 4 binary64)) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64)) #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64)))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64)) (neg.f64 (PI.f64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
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(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) (log.f64 (/.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64))))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal -1 binary64))))
(neg.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(fma.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) (log.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 0 binary64))
(fma.f64 (log.f64 (PI.f64)) #s(literal 1 binary64) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) (log.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) (log.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 0 binary64))
(-.f64 (log.f64 (neg.f64 (neg.f64 (PI.f64)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 #s(literal 1/4 binary64)) (neg.f64 (log.f64 (PI.f64))))
(-.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))
(+.f64 (log.f64 #s(literal -1/4 binary64)) (log.f64 (neg.f64 (PI.f64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(+.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 #s(literal -1/4 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (log.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (log.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(+.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 1 binary64))))
(+.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64)))
(+.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64)))
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))
(*.f64 (PI.f64) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64))) (neg.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (log.f64 f) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 3 binary64))) (PI.f64))) (neg.f64 (fma.f64 (log.f64 f) (log.f64 (/.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (pow.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (neg.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 f) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log.f64 f) (log.f64 (/.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (pow.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 f) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 3 binary64))) (PI.f64)) (fma.f64 (log.f64 f) (log.f64 (/.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (pow.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (PI.f64) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(/.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 f) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 3 binary64)))) (fma.f64 (log.f64 f) (log.f64 (/.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (pow.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64))))
(fma.f64 (log.f64 f) (PI.f64) (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)))
(fma.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (*.f64 (log.f64 f) (PI.f64)))
(fma.f64 (PI.f64) (log.f64 f) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(fma.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (PI.f64) (log.f64 f)))
(+.f64 (*.f64 (log.f64 f) (PI.f64)) (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)))
(+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (*.f64 (log.f64 f) (PI.f64)))
(+.f64 (*.f64 (PI.f64) (log.f64 f)) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(+.f64 (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) (log.f64 f)))

eval489.0ms (3.1%)

Memory
14.7MiB live, 1 062.1MiB allocated
Compiler

Compiled 77 536 to 8 775 computations (88.7% saved)

prune133.0ms (0.8%)

Memory
-10.1MiB live, 271.1MiB allocated
Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New2 392152 407
Fresh91322
Picked325
Done022
Total2 404322 436
Accuracy
99.9%
Counts
2 436 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
9.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))))) (log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
94.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
9.8%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
96.5%
(/.f64 (-.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.4%
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (PI.f64))
✓98.6%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
95.2%
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
95.0%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
95.5%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (*.f64 (*.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f)) (*.f64 (*.f64 (*.f64 f f) #s(literal -7/768 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
95.2%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓95.2%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
95.5%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(approx (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (fma.f64 (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
95.2%
(/.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))
95.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))))
95.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
94.6%
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
93.8%
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
95.0%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))))
98.4%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
95.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))
✓95.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
96.3%
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
95.2%
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))))
98.6%
(*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal -4 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.4%
(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) f) #s(literal 1/4 binary64)))))))
95.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
94.6%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
94.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
✓95.1%
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
95.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
95.0%
#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 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 2 090 to 768 computations (63.3% saved)

regimes193.0ms (1.2%)

Memory
19.1MiB live, 177.6MiB allocated
Counts
73 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
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(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #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 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.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))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(approx (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (fma.f64 (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
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(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
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(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
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(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (*.f64 (*.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f)) (*.f64 (*.f64 (*.f64 f f) #s(literal -7/768 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (* (* -1/4 (PI)) (PI))) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
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#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
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(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (*.f64 (*.f64 (/.f64 f (PI.f64)) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64)) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.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 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))))
(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))) #s(literal -1 binary64))))
(/.f64 (-.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))))) (log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))))) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 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 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Calls

6 calls:

49.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
48.0ms
(*.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)))))))
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)))))
18.0ms
f
15.0ms
(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
98.6%1f
98.6%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
98.6%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
98.6%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
98.6%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
98.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes130.0ms (0.8%)

Memory
-30.6MiB live, 97.7MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #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 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(approx (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (fma.f64 (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 #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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (*.f64 (*.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f)) (*.f64 (*.f64 (*.f64 f f) #s(literal -7/768 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (* (* -1/4 (PI)) (PI))) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
Calls

6 calls:

28.0ms
(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))))))
26.0ms
(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))))))))
11.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
11.0ms
f
9.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
98.4%1f
98.4%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
98.4%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
98.4%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
98.4%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
98.4%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes73.0ms (0.5%)

Memory
23.9MiB live, 101.5MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #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 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(approx (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (fma.f64 (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 #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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (*.f64 (*.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f)) (*.f64 (*.f64 (*.f64 f f) #s(literal -7/768 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4))) (* (* -1/4 (PI)) (PI))) (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
Calls

6 calls:

21.0ms
(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))))))
14.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
10.0ms
f
9.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
8.0ms
(*.f64 (/.f64 #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
95.6%1f
95.6%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
95.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
95.6%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
95.6%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
95.6%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes85.0ms (0.5%)

Memory
-1.1MiB live, 80.6MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #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 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(approx (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (fma.f64 (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 #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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (*.f64 (*.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f)) (*.f64 (*.f64 (*.f64 f f) #s(literal -7/768 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Outputs
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(approx (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (fma.f64 (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Calls

6 calls:

38.0ms
(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))))))
13.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
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 (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
95.5%1f
95.5%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))))))))
95.5%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)))))))
95.5%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))))))
95.5%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)))))
95.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes64.0ms (0.4%)

Memory
-19.6MiB live, 58.8MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #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 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) #s(approx (* (* -1/4 (PI)) (* (neg (log (tanh (* (* (PI) f) 1/4)))) 4)) (*.f64 (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Outputs
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Calls

6 calls:

35.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
6.0ms
f
5.0ms
(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))))))
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)))))
Results
AccuracySegmentsBranch
95.2%1f
95.2%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))))))))
95.2%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)))))))
95.2%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))))))
95.2%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)))))
95.2%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes30.0ms (0.2%)

Memory
-11.6MiB live, 27.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

18.0ms
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))))))))
2.0ms
(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))))))
2.0ms
(/.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)))))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
95.0%1f
95.0%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))))))))
95.0%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)))))))
95.0%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))))))
95.0%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)))))
95.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify9.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Algorithm
1×egg-herbie
Rules
50×*-commutative_binary64
36×neg-mul-1_binary64
22×unsub-neg_binary64
16×distribute-rgt-neg-in_binary64
14×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077171
1102171
2115171
3128170
4140170
5168170
6206170
7209170
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(approx (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (fma.f64 (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(approx (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (fma.f64 (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f) f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 #s(approx (+ (* (* f f) (+ (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (* (* (* (PI) (PI)) (PI)) -7/768))) (* (PI) 1/4)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) f) f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))

soundness929.0ms (5.9%)

Memory
13.7MiB live, 638.9MiB allocated
Rules
13 698×lower-fma.f64
13 698×lower-fma.f32
12 346×lower-fma.f64
12 346×lower-fma.f32
7 296×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03197368
110096482
244035716
090675549
04117850
113296834
257395882
090255711
04968934
116157584
268317555
080287291
016154
029100
111952
278352
0856152
064359
0104303
1383246
22561246
08149246
01901850
15531668
221281484
090931459
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 359 to 163 computations (54.6% saved)

preprocess55.0ms (0.3%)

Memory
-6.5MiB live, 156.2MiB allocated
Compiler

Compiled 274 to 118 computations (56.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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